On the Number of Paths of Lengths 3 and 4 in a Graph

  • Authors

    • Nazanin Movarraei ph.D student of University of Pune, India.
    • Maruti Shikare Faculty, University of Pune, India.
    2014-05-16
    https://doi.org/10.14419/ijamr.v3i2.2409

  • In this paper, we obtain explicit formulae for the total number of paths of lengths 3 and 4 in a simple graph G. We also determine some formulae for the number of paths of lengths 3 and 4 each of which starts from an specific vertex vi and for the number of vi-vj paths of lengths 3 and 4 in a simple graph G, in terms of the adjacency matrix and with the helps of combinatorics.

    Keywords: Adjacency Matrix, Cycle, Graph Theory, Path, Subgraph, Walk .

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    Movarraei, N., & Shikare, M. (2014). On the Number of Paths of Lengths 3 and 4 in a Graph. International Journal of Applied Mathematical Research, 3(2), 178-189. https://doi.org/10.14419/ijamr.v3i2.2409